For people who fill the long income tax form with illegal deductions, every 6 out of 9 know it is illegal, and the remaining 3 out of 9 did it incorrectly because they are unfamiliar with the tax regulations. Among those who filled illegal deductions and know it is illegal, 75% will deny knowledge of the error. Among those who filled illegal deductions because of unfamiliarity, 100% deny knowledge of the error. If the filer filled out the form with illegal deductions and denies the knowledge of the error, what is the probability that the filer knows it's illegal?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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For people who fill the long income tax form with illegal
deductions, every 6 out of 9 know it is illegal, and the
remaining 3 out of 9 did it incorrectly because they are
unfamiliar with the tax regulations. Among those who
filled illegal deductions and know it is illegal, 75% will
deny knowledge of the error. Among those who filled
illegal deductions because of unfamiliarity, 100% deny
knowledge of the error. If the filer filled out the form
with illegal deductions and denies the knowledge of the
error, what is the probability that the filer knows it's
illegal?
Transcribed Image Text:For people who fill the long income tax form with illegal deductions, every 6 out of 9 know it is illegal, and the remaining 3 out of 9 did it incorrectly because they are unfamiliar with the tax regulations. Among those who filled illegal deductions and know it is illegal, 75% will deny knowledge of the error. Among those who filled illegal deductions because of unfamiliarity, 100% deny knowledge of the error. If the filer filled out the form with illegal deductions and denies the knowledge of the error, what is the probability that the filer knows it's illegal?
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